Using Radian or Degree Measure In Exercises 1-4, (a) sketch the angle in standard position, (b) determine the quadrant in which the angle lies, and (c) determine two coterminal
(a)
To graph: The angle,
Explanation of Solution
Graph:
Consider, the provided angle,
Now, in order to sketch the angle,
Since, the angle,
Therefore,
(b)
The quadrant in which, the angle,
Answer to Problem 1RE
The quadrant in which, the angle,
Explanation of Solution
Consider, the provided angle,
The co-ordinate system consists of four quadrants numbered as
Quadrant
Quadrant
Quadrant
Quadrant
Since, the angle
Therefore, the angle,
Hence, the quadrant in which, the angle,
(c)
The (one positive and one negative) co-terminal angle, for the angle,
Answer to Problem 1RE
The (one positive and one negative) co-terminal angle, for the angle,
Explanation of Solution
Co-terminal angle:
If two angles are made by the same initial and terminal side, then, such angles are called co-terminal angles. The positive and negative co-terminal angle of an angle can be obtained by subtracting or adding
Consider, the provided angle,
Now, in order to get the positive and negative co-terminal angles, add and subtract
For the positive angle,
And,
For the negative angle,
Hence, the (one positive and one negative) co-terminal angle, for the angle,
Want to see more full solutions like this?
Chapter 1 Solutions
Trigonometry (MindTap Course List)